What is the integral of sin^2(x)cos(x) ?

The integral of sin^2(x)cos(x) is (sin^3(x))/3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin^2(x)cos(x)

\int sin^{2} (x) cos (x) d x

\frac{sin ^{3} ( x )}{3} + C

Solution steps

\int sin^{2} (x) cos (x) d x

Apply u-substitution

: \int u^{2} d u

= \int u^{2} d u

Apply the Power Rule

: \frac{u ^{3}}{3}

= \frac{u ^{3}}{3}

Substitute back

u = sin (x)

= \frac{sin ^{3} ( x )}{3}

Add a constant to the solution

= \frac{sin ^{3} ( x )}{3} + C

\frac{d}{d x} (e^{5 x^{5}})

\frac{d}{d x} (- 4 cos (x) + x sin (x))

\int_{0}^{3} (3 - 2 x + x^{2}) d x

x \to 4 lim (6 x + ∣ x - 4 ∣)

x \to - \infty lim (x \cdot (- 1))

What is the integral of sin^2(x)cos(x) ?
The integral of sin^2(x)cos(x) is (sin^3(x))/3+C